{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZrwVQsM9TiUw"
      },
      "source": [
        "##### Copyright 2019 The TensorFlow Probability Authors.\n",
        "\n",
        "Licensed under the Apache License, Version 2.0 (the \"License\");"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "cellView": "form",
        "id": "CpDUTVKYTowI"
      },
      "outputs": [],
      "source": [
        "#@title Licensed under the Apache License, Version 2.0 (the \"License\"); { display-mode: \"form\" }\n",
        "# you may not use this file except in compliance with the License.\n",
        "# You may obtain a copy of the License at\n",
        "#\n",
        "# https://www.apache.org/licenses/LICENSE-2.0\n",
        "#\n",
        "# Unless required by applicable law or agreed to in writing, software\n",
        "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
        "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
        "# See the License for the specific language governing permissions and\n",
        "# limitations under the License."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ltPJCG6pAUoc"
      },
      "source": [
        "# TensorFlow Probability 둘러보기\n",
        "\n",
        "<table class=\"tfo-notebook-buttons\" align=\"left\">\n",
        "  <td><a target=\"_blank\" href=\"https://www.tensorflow.org/probability/examples/A_Tour_of_TensorFlow_Probability\"><img src=\"https://www.tensorflow.org/images/tf_logo_32px.png\">TensorFlow.org에서 보기</a></td>\n",
        "  <td><a target=\"_blank\" href=\"https://colab.research.google.com/github/tensorflow/docs-l10n/blob/master/site/ko/probability/examples/A_Tour_of_TensorFlow_Probability.ipynb\"><img src=\"https://www.tensorflow.org/images/colab_logo_32px.png\">Google Colab에서 실행하기</a></td>\n",
        "  <td><a target=\"_blank\" href=\"https://github.com/tensorflow/docs-l10n/blob/master/site/ko/probability/examples/A_Tour_of_TensorFlow_Probability.ipynb\"><img src=\"https://www.tensorflow.org/images/GitHub-Mark-32px.png\">    GitHub에서 소스 보기</a></td>\n",
        "  <td><a href=\"https://storage.googleapis.com/tensorflow_docs/docs-l10n/site/ko/probability/examples/A_Tour_of_TensorFlow_Probability.ipynb\"><img src=\"https://www.tensorflow.org/images/download_logo_32px.png\">노트북 다운로드하기</a></td>\n",
        "</table>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WRVR-tGTR31S"
      },
      "source": [
        "이 Colab에서는 TensorFlow Probability의 몇 가지 기본 기능을 살펴보겠습니다. "
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uiR4-VOt9NFX"
      },
      "source": [
        "### 종속성과 전제 조건\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "5UYdUIGU5KJ6"
      },
      "outputs": [],
      "source": [
        "#@title Import { display-mode: \"form\" }\n",
        "\n",
        "\n",
        "from pprint import pprint\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import seaborn as sns\n",
        "\n",
        "import tensorflow.compat.v2 as tf\n",
        "tf.enable_v2_behavior()\n",
        "\n",
        "import tensorflow_probability as tfp\n",
        "\n",
        "sns.reset_defaults()\n",
        "sns.set_context(context='talk',font_scale=0.7)\n",
        "plt.rcParams['image.cmap'] = 'viridis'\n",
        "\n",
        "%matplotlib inline\n",
        "\n",
        "tfd = tfp.distributions\n",
        "tfb = tfp.bijectors"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "di_gCffY43PT"
      },
      "outputs": [],
      "source": [
        "#@title Utils { display-mode: \"form\" }\n",
        "def print_subclasses_from_module(module, base_class, maxwidth=80):\n",
        "  import functools, inspect, sys\n",
        "  subclasses = [name for name, obj in inspect.getmembers(module)\n",
        "                if inspect.isclass(obj) and issubclass(obj, base_class)]\n",
        "  def red(acc, x):\n",
        "    if not acc or len(acc[-1]) + len(x) + 2 > maxwidth:\n",
        "      acc.append(x)\n",
        "    else:\n",
        "      acc[-1] += \", \" + x\n",
        "    return acc\n",
        "  print('\\n'.join(functools.reduce(red, subclasses, [])))"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZLkia-fRu6Qh"
      },
      "source": [
        "## 개요\n",
        "\n",
        "- TensorFlow\n",
        "- TensorFlow Probability\n",
        "    - 분포\n",
        "    - Bijectors\n",
        "    - 마르코프 연쇄 몬테카를로(MCMC)\n",
        "    - 그 외 다수"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3GMqBNxpp5Jk"
      },
      "source": [
        "## 서문: TensorFlow\n",
        "\n",
        "TensorFlow는 과학 컴퓨팅 라이브러리입니다.\n",
        "\n",
        "---\n",
        "\n",
        "TensorFlow는 다음을 지원합니다.\n",
        "\n",
        "- 많은 수학적 연산\n",
        "- 효율적인 벡터화 계산\n",
        "- 쉬운 하드웨어 가속\n",
        "- 자동 미분"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "rC_qZlx10LQF"
      },
      "source": [
        "### 벡터화\n",
        "\n",
        "- 벡터화를 통해 계산이 빨라집니다!\n",
        "- 또한 이는 형상에 대한 많은 고찰이 있었음을 의미합니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "V2t6mr5Wp4Qp"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "1 loops, best of 3: 2 s per loop\n",
            "1000 loops, best of 3: 653 µs per loop\n"
          ]
        }
      ],
      "source": [
        "mats = tf.random.uniform(shape=[1000, 10, 10])\n",
        "vecs = tf.random.uniform(shape=[1000, 10, 1])\n",
        "\n",
        "def for_loop_solve():\n",
        "  return np.array(\n",
        "    [tf.linalg.solve(mats[i, ...], vecs[i, ...]) for i in range(1000)])\n",
        "\n",
        "def vectorized_solve():\n",
        "  return tf.linalg.solve(mats, vecs)\n",
        "\n",
        "# Vectorization for the win!\n",
        "%timeit for_loop_solve()\n",
        "%timeit vectorized_solve()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0i0EJp2i0Nfa"
      },
      "source": [
        "### 하드웨어 가속"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "HZR6I98GtY3B"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Using a CPU\n"
          ]
        }
      ],
      "source": [
        "# Code can run seamlessly on a GPU, just change Colab runtime type\n",
        "# in the 'Runtime' menu.\n",
        "if tf.test.gpu_device_name() == '/device:GPU:0':\n",
        "  print(\"Using a GPU\")\n",
        "else:\n",
        "  print(\"Using a CPU\")"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "5rfAomye0QGb"
      },
      "source": [
        "### 자동 미분"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "NCLkCcWpuKKh"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "tf.Tensor(3.1415927, shape=(), dtype=float32)\n",
            "tf.Tensor(2.7182817, shape=(), dtype=float32)\n"
          ]
        }
      ],
      "source": [
        "a = tf.constant(np.pi)\n",
        "b = tf.constant(np.e)\n",
        "with tf.GradientTape() as tape:\n",
        "  tape.watch([a, b])\n",
        "  c = .5 * (a**2 + b**2)\n",
        "grads = tape.gradient(c, [a, b])\n",
        "print(grads[0])\n",
        "print(grads[1])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tS9F_zwnxe8c"
      },
      "source": [
        "## TensorFlow Probability\n",
        "\n",
        "*TensorFlow Probability는 TensorFlow에서 확률적 추론 및 통계 분석을 위한 라이브러리입니다.*\n",
        "\n",
        "낮은 수준 모듈러 구성 요소의 구성을 통해 *모델링*, *추론* 및 *비평*이 지원됩니다.\n",
        "\n",
        "### 낮은 수준의 구성 요소\n",
        "\n",
        "- 분포\n",
        "- Bijectors\n",
        "\n",
        "### 높은 수준의 구문\n",
        "\n",
        "- 마르코프 연쇄 몬테카를로\n",
        "- 확률적 레이어\n",
        "- 구조적 시계열\n",
        "- 일반화된 선형 모델\n",
        "- 옵티마이저"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3a-IYDxm5aXg"
      },
      "source": [
        "## 분포\n",
        "\n",
        "`tfp.distributions.Distribution`은 `sample` 및 `log_prob`의 두 가지 핵심 메서드가 있는 클래스입니다.\n",
        "\n",
        "TFP에는 Distributions가 많이 있습니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "9MEFOWRX2InJ"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Autoregressive, BatchReshape, Bates, Bernoulli, Beta, BetaBinomial, Binomial\n",
            "Blockwise, Categorical, Cauchy, Chi, Chi2, CholeskyLKJ, ContinuousBernoulli\n",
            "Deterministic, Dirichlet, DirichletMultinomial, Distribution, DoublesidedMaxwell\n",
            "Empirical, ExpGamma, ExpRelaxedOneHotCategorical, Exponential, FiniteDiscrete\n",
            "Gamma, GammaGamma, GaussianProcess, GaussianProcessRegressionModel\n",
            "GeneralizedNormal, GeneralizedPareto, Geometric, Gumbel, HalfCauchy, HalfNormal\n",
            "HalfStudentT, HiddenMarkovModel, Horseshoe, Independent, InverseGamma\n",
            "InverseGaussian, JohnsonSU, JointDistribution, JointDistributionCoroutine\n",
            "JointDistributionCoroutineAutoBatched, JointDistributionNamed\n",
            "JointDistributionNamedAutoBatched, JointDistributionSequential\n",
            "JointDistributionSequentialAutoBatched, Kumaraswamy, LKJ, Laplace\n",
            "LinearGaussianStateSpaceModel, LogLogistic, LogNormal, Logistic, LogitNormal\n",
            "Mixture, MixtureSameFamily, Moyal, Multinomial, MultivariateNormalDiag\n",
            "MultivariateNormalDiagPlusLowRank, MultivariateNormalFullCovariance\n",
            "MultivariateNormalLinearOperator, MultivariateNormalTriL\n",
            "MultivariateStudentTLinearOperator, NegativeBinomial, Normal, OneHotCategorical\n",
            "OrderedLogistic, PERT, Pareto, PixelCNN, PlackettLuce, Poisson\n",
            "PoissonLogNormalQuadratureCompound, PowerSpherical, ProbitBernoulli\n",
            "QuantizedDistribution, RelaxedBernoulli, RelaxedOneHotCategorical, Sample\n",
            "SinhArcsinh, SphericalUniform, StudentT, StudentTProcess\n",
            "TransformedDistribution, Triangular, TruncatedCauchy, TruncatedNormal, Uniform\n",
            "VariationalGaussianProcess, VectorDeterministic, VectorExponentialDiag, VonMises\n",
            "VonMisesFisher, Weibull, WishartLinearOperator, WishartTriL, Zipf\n"
          ]
        }
      ],
      "source": [
        "print_subclasses_from_module(tfp.distributions, tfp.distributions.Distribution)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "JoRByxnrir-u"
      },
      "source": [
        "### 단순 스칼라 변량 `Distribution`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "nPh4HEwuCnRr"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "tfp.distributions.Normal(\"Normal\", batch_shape=[], event_shape=[], dtype=float32)\n"
          ]
        }
      ],
      "source": [
        "# A standard normal\n",
        "normal = tfd.Normal(loc=0., scale=1.)\n",
        "print(normal)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "tIylCtMDCwnl"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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4uoigN5px8kKt0OEQG0FJgdi09laCp6sYYT4eAkfjWNxdxRgf5gUAOFpQAxOV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\n6QkAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Plot 1000 samples from a standard normal\n",
        "samples = normal.sample(1000)\n",
        "sns.distplot(samples)\n",
        "plt.title(\"Samples from a standard Normal\")\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Wyn6XnmSh_iI"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<tf.Tensor: shape=(), dtype=float32, numpy=-0.9189385>"
            ]
          },
          "execution_count": 0,
          "metadata": {
            "tags": []
          },
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# Compute the log_prob of a point in the event space of `normal`\n",
        "normal.log_prob(0.)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "q67IaJ-qie1u"
      },
      "outputs": [
        {
          "data": {
            "text/plain": [
              "<tf.Tensor: shape=(3,), dtype=float32, numpy=array([-1.4189385, -0.9189385, -1.4189385], dtype=float32)>"
            ]
          },
          "execution_count": 0,
          "metadata": {
            "tags": []
          },
          "output_type": "execute_result"
        }
      ],
      "source": [
        "# Compute the log_prob of a few points\n",
        "normal.log_prob([-1., 0., 1.])"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ikAl1XxmI5Ek"
      },
      "source": [
        "### 분포와 형상\n",
        "\n",
        "Numpy `ndarrays` 및 TensorFlow `Tensors`에는 *형상*이 있습니다.\n",
        "\n",
        "TensorFlow Probability `Distributions`에는 *형상 의미 체계*가 있습니다. 모든 것에 같은 메모리 청크(`Tensor`/`ndarray`)가 사용되더라도 형상을 의미적으로 구별되는 조각으로 분할합니다.\n",
        "\n",
        "- **배치 형상**은 고유한 매개변수가 있는 <code>Distribution</code>의 <em>모음</em>을 나타냅니다.\n",
        "- **이벤트 형상**은 <code>Distribution</code>에서 <em>샘플</em>의 형상을 나타냅니다.\n",
        "\n",
        "항상 배치 형상을 '왼쪽'에 배치하고 이벤트 형상을 '오른쪽'에 배치합니다."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Bt7D7EgrEdYo"
      },
      "source": [
        "### 스칼라 변량 <code>Distributions</code>의 <em>배치</em>\n",
        "\n",
        "배치는 '벡터화된' 분포와 유사합니다. 계산이 병렬로 발생하는 독립 인스턴스입니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "vfY1B4GqDDJo"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Batch shape: (3,)\n",
            "Event shape: ()\n"
          ]
        }
      ],
      "source": [
        "# Create a batch of 3 normals, and plot 1000 samples from each\n",
        "normals = tfd.Normal([-2.5, 0., 2.5], 1.)  # The scale parameter broadacasts!\n",
        "print(\"Batch shape:\", normals.batch_shape)\n",
        "print(\"Event shape:\", normals.event_shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "iNzTGgKqE5CT"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Shape of samples: (1000, 3)\n"
          ]
        }
      ],
      "source": [
        "# Samples' shapes go on the left!\n",
        "samples = normals.sample(1000)\n",
        "print(\"Shape of samples:\", samples.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "hIRbVOS7OP-g"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Shape of samples: (10, 10, 10, 3)\n"
          ]
        }
      ],
      "source": [
        "# Sample shapes can themselves be more complicated\n",
        "print(\"Shape of samples:\", normals.sample([10, 10, 10]).shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "nqXQ6DEDFsLU"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "tf.Tensor([-0.9189385 -0.9189385 -0.9189385], shape=(3,), dtype=float32)\n"
          ]
        }
      ],
      "source": [
        "# A batch of normals gives a batch of log_probs.\n",
        "print(normals.log_prob([-2.5, 0., 2.5]))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "W1uSOXO8GQB4"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "tf.Tensor([-4.0439386 -0.9189385 -4.0439386], shape=(3,), dtype=float32)\n"
          ]
        }
      ],
      "source": [
        "# The computation broadcasts, so a batch of normals applied to a scalar\n",
        "# also gives a batch of log_probs.\n",
        "print(normals.log_prob(0.))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "nxAGVtnPGkQ4"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "TFP error: Incompatible shapes: [200] vs. [3] [Op:SquaredDifference]\n"
          ]
        }
      ],
      "source": [
        "# Normal numpy-like broadcasting rules apply!\n",
        "xs = np.linspace(-6, 6, 200)\n",
        "try:\n",
        "  normals.log_prob(xs)\n",
        "except Exception as e:\n",
        "  print(\"TFP error:\", e.message)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "ieF2lRhPHxgd"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Numpy error: operands could not be broadcast together with shapes (200,) (3,) \n"
          ]
        }
      ],
      "source": [
        "# That fails for the same reason this does:\n",
        "try:\n",
        "  np.zeros(200) + np.zeros(3)\n",
        "except Exception as e:\n",
        "  print(\"Numpy error:\", e)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "nS9qPHdeH0gz"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Broadcast shape: (200, 3)\n"
          ]
        }
      ],
      "source": [
        "# But this would work:\n",
        "a = np.zeros([200, 1]) + np.zeros(3)\n",
        "print(\"Broadcast shape:\", a.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "9w64N4YQH2r5"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Broadcast log_prob shape: (200, 3)\n"
          ]
        }
      ],
      "source": [
        "# And so will this!\n",
        "xs = np.linspace(-6, 6, 200)[..., np.newaxis]\n",
        "# => shape = [200, 1]\n",
        "\n",
        "lps = normals.log_prob(xs)\n",
        "print(\"Broadcast log_prob shape:\", lps.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "rfsG1F0FFAWS"
      },
      "outputs": [
        {
          "data": {
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8PAwAOHXqFK677jpotVpcccUV+PSnP40777zzkuWSyWT4/e9/j3PnzqGkpAQ7d+7EPffc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\nivKjRYGiKIry+3+bj2GrPw5GuQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Summarizing visually\n",
        "for i in range(3):\n",
        "  sns.distplot(samples[:, i], kde=False, norm_hist=True)\n",
        "plt.plot(np.tile(xs, 3), normals.prob(xs), c='k', alpha=.5)\n",
        "plt.title(\"Samples from 3 Normals, and their PDF's\")\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "E05ut7jxix6C"
      },
      "source": [
        "### 벡터 변량 `Distribution`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "2zEm7UpFi2S_"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Batch shape: ()\n",
            "Event shape: (2,)\n"
          ]
        }
      ],
      "source": [
        "mvn = tfd.MultivariateNormalDiag(loc=[0., 0.], scale_diag = [1., 1.])\n",
        "print(\"Batch shape:\", mvn.batch_shape)\n",
        "print(\"Event shape:\", mvn.event_shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "YfT5qzyRjGfg"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Samples shape: (1000, 2)\n"
          ]
        }
      ],
      "source": [
        "samples = mvn.sample(1000)\n",
        "print(\"Samples shape:\", samples.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "eKdi0DDqjRiA"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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yXQM2HdQ+F8dafhTLtOW+Bx98EM8//zwaGxvxzDPP4JZbbjHrqR1HdC/JLPFJ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\nERE5FoMUERE5FoMUERE5FoMUERE51v8PETtA8YU7Lh4AAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 600x600 with 3 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "g = sns.jointplot(samples[:, 0], samples[:, 1], kind='scatter')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Hh53LM89PQei"
      },
      "source": [
        "### 행렬 변량 `Distribution`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "fHOIJipjItGG"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Batch shape:  (2,)\n",
            "Event shape:  (10, 10)\n"
          ]
        }
      ],
      "source": [
        "lkj = tfd.LKJ(dimension=10, concentration=[1.5, 3.0])\n",
        "print(\"Batch shape: \", lkj.batch_shape)\n",
        "print(\"Event shape: \", lkj.event_shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "NkOqJiT6PcOT"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Samples shape:  (2, 10, 10)\n"
          ]
        }
      ],
      "source": [
        "samples = lkj.sample()\n",
        "print(\"Samples shape: \", samples.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "BYvY7_2xPecj"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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            "text/plain": [
              "<Figure size 600x300 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "fig, axes = plt.subplots(nrows=1, ncols=2, figsize=(6, 3))\n",
        "sns.heatmap(samples[0, ...], ax=axes[0], cbar=False)\n",
        "sns.heatmap(samples[1, ...], ax=axes[1], cbar=False)\n",
        "fig.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "uwJVF06EQ0SK"
      },
      "source": [
        "### 가우시안 프로세스"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "Y_IpyZlUTlBr"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Batch shape: ()\n",
            "Event shape: (200,)\n"
          ]
        }
      ],
      "source": [
        "kernel = tfp.math.psd_kernels.ExponentiatedQuadratic()\n",
        "xs = np.linspace(-5., 5., 200).reshape([-1, 1])\n",
        "gp = tfd.GaussianProcess(kernel, index_points=xs)\n",
        "print(\"Batch shape:\", gp.batch_shape)\n",
        "print(\"Event shape:\", gp.event_shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "mgI2dtZERCSX"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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DSoAxvsqPRgFJQvLIEbCamq3f53Dw13o8AKVQL1wAicUKv782NjYVh20MKgB5bEwki7X9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\n",
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "upper, lower = gp.mean() + [2 * gp.stddev(), -2 * gp.stddev()]\n",
        "plt.plot(xs, gp.mean())\n",
        "plt.fill_between(xs[..., 0], upper, lower, color='k', alpha=.1)\n",
        "for _ in range(5):\n",
        "  plt.plot(xs, gp.sample(), c='r', alpha=.3)\n",
        "plt.title(r\"GP prior mean, $2\\sigma$ intervals, and samples\")\n",
        "plt.show()\n",
        "\n",
        "#    *** Bonus question ***\n",
        "# Why do so many of these functions lie outside the 95% intervals?"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "MVj2wH_wSkwg"
      },
      "source": [
        "### 가우시안 프로세스 회귀"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "n0xgOdM2XstI"
      },
      "outputs": [],
      "source": [
        "# Suppose we have some observed data\n",
        "obs_x = [[-3.], [0.], [2.]]  # Shape 3x1 (3 1-D vectors)\n",
        "obs_y = [3., -2., 2.]        # Shape 3   (3 scalars)\n",
        "\n",
        "gprm = tfd.GaussianProcessRegressionModel(kernel, xs, obs_x, obs_y)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "tqICnZOcUX8y"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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crstWH+B0OpHJZBAKhcrqZBSPxxEIBLQZf7nY7XZwHIepqSndIOjorHF0Y7BEigHey20I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\nxQy1HiTbMMNhqHfdxTaUHe+/j8+fyEtOv356Fn9+prggGO3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OHmX2ykCeIjI6OsqujPO2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EeqFgKADpN/9JlnoO3ahdx99yF34sSKhcCmC1paWppS0ibqBsSswQRjYGAAjz76KL72ta/hmWee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\nIiIC8D9VEXETMJerHwAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "upper, lower = gprm.mean() + [2 * gprm.stddev(), -2 * gprm.stddev()]\n",
        "plt.plot(xs, gprm.mean())\n",
        "plt.fill_between(xs[..., 0], upper, lower, color='k', alpha=.1)\n",
        "for _ in range(5):\n",
        "  plt.plot(xs, gprm.sample(), c='r', alpha=.3)\n",
        "plt.scatter(obs_x, obs_y, c='k', zorder=3)\n",
        "plt.title(r\"GP posterior mean, $2\\sigma$ intervals, and samples\")\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "W6GCupiD5r5C"
      },
      "source": [
        "## Bijectors\n",
        "\n",
        "Bijector는 (대부분) 가역적이고 매끄러운 함수를 나타냅니다. 분포를 변환하는 데 사용할 수 있으며 샘플을 사용하고 log_probs를 계산하는 기능을 보존할 수 있습니다. 이들 Bijector는 `tfp.bijectors` 모듈에 있을 수 있습니다.\n",
        "\n",
        "각 bijector는 최소 3가지 메서드를 구현합니다.\n",
        "\n",
        "- `forward`\n",
        "- `inverse`\n",
        "- (적어도) `forward_log_det_jacobian` 및 `inverse_log_det_jacobian` 중 하나.\n",
        "\n",
        "위의 성분을 사용하여 분포를 변환하고 결과에서 샘플 및 log_probs를 얻을 수 있습니다.\n",
        "\n",
        "### 수학식에서는 다소 엉성하게 나타납니다.\n",
        "\n",
        "- $X$는 pdf $p(x)$를 사용하는 확률 변수입니다.\n",
        "- $g$는 $X$의 공간에 대한 매끄럽고 가역적인 함수입니다.\n",
        "- $Y = g(X)$는 변환된 새 확률 변수입니다.\n",
        "- $p(Y=y) = p(X=g^{-1}(y)) \\cdot |\\nabla g^{-1}(y)|$\n",
        "\n",
        "### 캐싱\n",
        "\n",
        "Bijector는 또한 순방향 및 역방향 계산과 log-det-Jacobian을 캐시하여 잠재적으로 매우 비싼 연산을 반복하지 않을 수 있습니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "OUKjqlHi5BQm"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "AbsoluteValue, Affine, AffineLinearOperator, AffineScalar, BatchNormalization\n",
            "Bijector, Blockwise, Chain, CholeskyOuterProduct, CholeskyToInvCholesky\n",
            "CorrelationCholesky, Cumsum, DiscreteCosineTransform, Exp, Expm1, FFJORD\n",
            "FillScaleTriL, FillTriangular, FrechetCDF, GeneralizedExtremeValueCDF\n",
            "GeneralizedPareto, GompertzCDF, GumbelCDF, Identity, Inline, Invert\n",
            "IteratedSigmoidCentered, KumaraswamyCDF, LambertWTail, Log, Log1p\n",
            "MaskedAutoregressiveFlow, MatrixInverseTriL, MatvecLU, MoyalCDF, NormalCDF\n",
            "Ordered, Pad, Permute, PowerTransform, RationalQuadraticSpline, RayleighCDF\n",
            "RealNVP, Reciprocal, Reshape, Scale, ScaleMatvecDiag, ScaleMatvecLU\n",
            "ScaleMatvecLinearOperator, ScaleMatvecTriL, ScaleTriL, Shift, ShiftedGompertzCDF\n",
            "Sigmoid, Sinh, SinhArcsinh, SoftClip, Softfloor, SoftmaxCentered, Softplus\n",
            "Softsign, Split, Square, Tanh, TransformDiagonal, Transpose, WeibullCDF\n"
          ]
        }
      ],
      "source": [
        "print_subclasses_from_module(tfp.bijectors, tfp.bijectors.Bijector)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "z9dPFaOVWTPr"
      },
      "source": [
        "### 단순 `Bijector`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "ChhpOmKiYres"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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gxGhDJU5GRB3BUiCvsNodeH3LYby2qQxWu4BCLsNTuf3x8Mh+PCmNyI+wFOiq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\nAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "normal_cdf = tfp.bijectors.NormalCDF()\n",
        "xs = np.linspace(-4., 4., 200)\n",
        "plt.plot(xs, normal_cdf.forward(xs))\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "DfLTIp12UGjn"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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S6XS2RmpxVypq8PnBHADAk0Paw4t7EBE5FZlMhjnDrKODA1mlOJjV+uYObC6D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\n/wO2hXFKEV+zbQAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "plt.plot(xs, normal_cdf.forward_log_det_jacobian(xs, event_ndims=0))\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "0Lc38b8uWnzT"
      },
      "source": [
        "### `Distribution`을 변환하는 `Bijector`"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "m4DeJGmlCJ7j"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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gwYI2faGCSFtkMZpw8DY/P58ZM2awceNGUlNTWbp0KYMHD2b58uUsXLiQvXv3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\n",
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "exp_bijector = tfp.bijectors.Exp()\n",
        "log_normal = exp_bijector(tfd.Normal(0., .5))\n",
        "\n",
        "samples = log_normal.sample(1000)\n",
        "xs = np.linspace(1e-10, np.max(samples), 200)\n",
        "sns.distplot(samples, norm_hist=True, kde=False)\n",
        "plt.plot(xs, log_normal.prob(xs), c='k', alpha=.75)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "A9MiFjxcW9C_"
      },
      "source": [
        "### `Bijectors` 일괄 처리하기"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "SrbhJ9uhZry9"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Hinge softness shape: (3,)\n"
          ]
        }
      ],
      "source": [
        "# Create a batch of bijectors of shape [3,]\n",
        "softplus = tfp.bijectors.Softplus(\n",
        "  hinge_softness=[1., .5, .1])\n",
        "print(\"Hinge softness shape:\", softplus.hinge_softness.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "qk_wOqJKXUaS"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Forward shape: (200, 3)\n"
          ]
        }
      ],
      "source": [
        "# For broadcasting, we want this to be shape [200, 1]\n",
        "xs = np.linspace(-4., 4., 200)[..., np.newaxis]\n",
        "ys = softplus.forward(xs)\n",
        "print(\"Forward shape:\", ys.shape)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "UazXAovhXHF-"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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v3qDW0bU6L3WcYucoxS3SUxBClBijycxrKw8QdSkZjVrF5wOaUSNzP/1OLCXD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\nKAghhDDJUBBCCGGSoSCEEML0D/bZ4D+x46QvAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Visualization\n",
        "lines = plt.plot(np.tile(xs, 3), ys)\n",
        "for line, hs in zip(lines, softplus.hinge_softness):\n",
        "  line.set_label(\"Softness: %1.1f\" % hs)\n",
        "plt.legend()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "X2IK1UP7qeIJ"
      },
      "source": [
        "### 캐싱"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "g20uziHzqdJw"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "10000 loops, best of 3: 114 µs per loop\n",
            "1 loops, best of 3: 208 ms per loop\n"
          ]
        }
      ],
      "source": [
        "# This bijector represents a matrix outer product on the forward pass,\n",
        "# and a cholesky decomposition on the inverse pass. The latter costs O(N^3)!\n",
        "bij = tfb.CholeskyOuterProduct()\n",
        "\n",
        "size = 2500\n",
        "# Make a big, lower-triangular matrix\n",
        "big_lower_triangular = tf.eye(size)\n",
        "# Squaring it gives us a positive-definite matrix\n",
        "big_positive_definite = bij.forward(big_lower_triangular)\n",
        "\n",
        "# Caching for the win!\n",
        "%timeit bij.inverse(big_positive_definite)\n",
        "%timeit tf.linalg.cholesky(big_positive_definite)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lm6nizQNbTOx"
      },
      "source": [
        "## 마르코프 연쇄 몬테카를로(MCMC)\n",
        "\n",
        "TFP는 해밀턴 몬테카를로(Hamiltonian Monte Carlo)를 포함한 일부 표준 마르코프 연쇄 몬테카를로 알고리즘에 대한 내장 지원을 제공합니다."
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Ol1vILKog0tf"
      },
      "source": [
        "### 데이터세트를 생성합니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "5lZhXdbgbSwP"
      },
      "outputs": [],
      "source": [
        "# Generate some data\n",
        "def f(x, w):\n",
        "  # Pad x with 1's so we can add bias via matmul\n",
        "  x = tf.pad(x, [[1, 0], [0, 0]], constant_values=1)\n",
        "  linop = tf.linalg.LinearOperatorFullMatrix(w[..., np.newaxis])\n",
        "  result = linop.matmul(x, adjoint=True)\n",
        "  return result[..., 0, :]\n",
        "\n",
        "num_features = 2\n",
        "num_examples = 50\n",
        "noise_scale = .5\n",
        "true_w = np.array([-1., 2., 3.])\n",
        "\n",
        "xs = np.random.uniform(-1., 1., [num_features, num_examples])\n",
        "ys = f(xs, true_w) + np.random.normal(0., noise_scale, size=num_examples)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "AmaqGeiraFSj"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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iWRwRI26NQEMl715JJr+xlhcj45noG4ZUxCWJxyqu8cmNw3jIHVjaZxx9HIyf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\n",
            "text/plain": [
              "<Figure size 600x400 with 2 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Visualize the data set\n",
        "plt.scatter(*xs, c=ys, s=100, linewidths=0)\n",
        "\n",
        "grid = np.meshgrid(*([np.linspace(-1, 1, 100)] * 2))\n",
        "xs_grid = np.stack(grid, axis=0)\n",
        "fs_grid = f(xs_grid.reshape([num_features, -1]), true_w)\n",
        "fs_grid = np.reshape(fs_grid, [100, 100])\n",
        "plt.colorbar()\n",
        "plt.contour(xs_grid[0, ...], xs_grid[1, ...], fs_grid, 20, linewidths=1)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pvBO5CMVg30Z"
      },
      "source": [
        "### 결합 로그 확률 함수를 정의합니다.\n",
        "\n",
        "unnormalized_posterior는 데이터를 둘러싸고 결합 log_prob의 [부분적 적용](https://en.wikipedia.org/wiki/Partial_application)을 형성한 결과입니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "UY56HpEaduUV"
      },
      "outputs": [],
      "source": [
        "# Define the joint_log_prob function, and our unnormalized posterior.\n",
        "def joint_log_prob(w, x, y):\n",
        "  # Our model in maths is\n",
        "  #   w ~ MVN([0, 0, 0], diag([1, 1, 1]))\n",
        "  #   y_i ~ Normal(w @ x_i, noise_scale),  i=1..N\n",
        "\n",
        "  rv_w = tfd.MultivariateNormalDiag(\n",
        "    loc=np.zeros(num_features + 1),\n",
        "    scale_diag=np.ones(num_features + 1))\n",
        "\n",
        "  rv_y = tfd.Normal(f(x, w), noise_scale)\n",
        "  return (rv_w.log_prob(w) +\n",
        "          tf.reduce_sum(rv_y.log_prob(y), axis=-1))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "lgL8c1nKjSi8"
      },
      "outputs": [],
      "source": [
        "# Create our unnormalized target density by currying x and y from the joint.\n",
        "def unnormalized_posterior(w):\n",
        "  return joint_log_prob(w, xs, ys)"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "45TMHGcUhS9l"
      },
      "source": [
        "### HMC TransitionKernel을 빌드하고 sample_chain을 호출합니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "T9Myqb0Yjph3"
      },
      "outputs": [],
      "source": [
        "# Create an HMC TransitionKernel\n",
        "hmc_kernel = tfp.mcmc.HamiltonianMonteCarlo(\n",
        "  target_log_prob_fn=unnormalized_posterior,\n",
        "  step_size=np.float64(.1),\n",
        "  num_leapfrog_steps=2)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "JBuIs-IbedWo"
      },
      "outputs": [],
      "source": [
        "# We wrap sample_chain in tf.function, telling TF to precompile a reusable\n",
        "# computation graph, which will dramatically improve performance.\n",
        "@tf.function\n",
        "def run_chain(initial_state, num_results=1000, num_burnin_steps=500):\n",
        "  return tfp.mcmc.sample_chain(\n",
        "    num_results=num_results,\n",
        "    num_burnin_steps=num_burnin_steps,\n",
        "    current_state=initial_state,\n",
        "    kernel=hmc_kernel,\n",
        "    trace_fn=lambda current_state, kernel_results: kernel_results)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "cR_fZpvY0dUJ"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Acceptance rate: 0.915\n"
          ]
        }
      ],
      "source": [
        "initial_state = np.zeros(num_features + 1)\n",
        "samples, kernel_results = run_chain(initial_state)\n",
        "print(\"Acceptance rate:\", kernel_results.is_accepted.numpy().mean())"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "o2CKVvkq0uLi"
      },
      "source": [
        "*별로 좋지 않습니다. 채택률이 .65에 가까워지길 바랍니다.*\n",
        "\n",
        "([Optimal Scaling for Various Metropolis-Hastings Algorithms](https://projecteuclid.org/euclid.ss/1015346320), Roberts & Rosenthal, 2001 참조)\n"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "WUb36P8JhXSw"
      },
      "source": [
        "### 적응형 스텝 크기\n",
        "\n",
        "HMC TransitionKernel을 `SimpleStepSizeAdaptation` 'meta-kernel'로 래핑할 수 있으며, 이는 burnin 중에 HMC 스텝 크기를 조정하기 위해 일부 로직(다소 단순한 추론)을 적용합니다. burnin의 80%를 스텝 크기를 조정하는데 할당하고 나머지 20%는 혼합에 사용합니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "QzAocJeU0wib"
      },
      "outputs": [],
      "source": [
        "# Apply a simple step size adaptation during burnin\n",
        "@tf.function\n",
        "def run_chain(initial_state, num_results=1000, num_burnin_steps=500):\n",
        "  adaptive_kernel = tfp.mcmc.SimpleStepSizeAdaptation(\n",
        "      hmc_kernel,\n",
        "      num_adaptation_steps=int(.8 * num_burnin_steps),\n",
        "      target_accept_prob=np.float64(.65))\n",
        "\n",
        "  return tfp.mcmc.sample_chain(\n",
        "    num_results=num_results,\n",
        "    num_burnin_steps=num_burnin_steps,\n",
        "    current_state=initial_state,\n",
        "    kernel=adaptive_kernel,\n",
        "    trace_fn=lambda cs, kr: kr)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "oZwdWBF114E2"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Acceptance rate: 0.634\n"
          ]
        }
      ],
      "source": [
        "samples, kernel_results = run_chain(\n",
        "  initial_state=np.zeros(num_features+1))\n",
        "print(\"Acceptance rate:\", kernel_results.inner_results.is_accepted.numpy().mean())"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "di0E8pYy0UOD"
      },
      "outputs": [
        {
          "data": {
            "image/png": 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9oLFzN8/hzNgZHOxPvzJ0NjSL02On0T/djxPXT0jOTcxN4LUrr+HocPIuanJB\neurGqbTvUuODWx/g+OhxHBs5png+FA3h7PhZ9E/3Y9A7iPlwYnGgXBkMe4dx8vpJDM4Myh+TMcKI\nIBKLpLmSMxtKhJQ+cPWAJJ1p7w3PIhQNSe6JsZiuJsNssFgsiW0vv/QldAshPwBs3boVhw8fLlTS\nANwlyuCDWx/gN5d+g2vT1/D7q7/H/iv705onrKbERODZ8bMZvU/cuCW/pxFAE3PJO3PJezeCoEhl\nS9YyGknH6bHTSe8YC4zlPCE+H57H+Ox4/G//gj/e8zsyeATnxs9JJsB9Cz7sv7ofFycu5vTeQCiA\nW3O3EIqGMDAzgOOjx/F6/+tJSnQ2NIvLk5fjSjaTOY2FaKIHKzddXJu+hmgsism5SYSjYc0dhmHv\nMC5PXpakTSwo5Vyb4WY6NTu+2Jw4H56XzEOJ0xGJRXB67DSu+6/j7PjZ+H3RWDReJzPt9GjFt+DD\nlSnpznEXb11EJBZBJBZB/3S/yp1ShLoajUXhW/DBt+BDNBbFQmQhKa+zoVnNiioVjDHEVMKAu1wu\nzM7Owu/34+DBgwiHw4jGojh1+hS8Pi8237c55/fnwl2xzkCwX4snmyZmJ+CyuWA0KOvDMmti9WAm\nAiEai0oEjLjSnR0/iyHvENbUrkGrh8fgETdOwTRVUVKBroouXPdfR7ldY9A2FWIsBt+CD26bW9ME\ntDfoRamlVCLYBN4dfRct7hasrVuLGIthan4K5fZymIzal9fLe9j90/3on+7HR3o+Ej82PjuOemc9\nfAs+nBs/h3A0jCtTV7CiOsXm9QAu3LyAmeAM1tWtSzonVqqRWCSu6M7fPI+6skRoi7cG3kKMxTAd\nnMbmRvXGOeQdQrOrWVKmqRS02KRy/uZ5Sb1LZ854/9b7aHI14b2x9zA9P43x2XHc33K/4rWphPJ4\nYBzHR4+rnhd3IuSCMRKLwGAw4PX+12Ez27CjdYdqpydXlExJwUgQB64egNFgTJofE9qcN+iFyyYN\nXhgIBRC71h/v9QpqlBmtsFt49NW524pzDki6Xw5jDMFIECajiXcYRSv5GWPwh/yIsRgcFgcsJumi\nNvftnc5eeuklPP4nj+P/vvR/MRuexY+f+zE++7nP4vAfDuMb/+83YDAYsH79evzrv/5r6oLSmbtC\nGSgx7BvGpclLaHY3Y01t6o1EMvEIOn/zvMSbSNxIhMnAs+Nn48pAbOsXenw3/DfiE2dmY26fSHAL\nbXI1ocnVhMrSSkUFGI6G8ca1NxCKhlBqKUWppVRxaD7kHcLaurU4N34OQ94h1Dvrsakh93ACYoEY\niobwev/rmm2+jDFJj/GDyeQ5nwoaAAAgAElEQVR5AvF3SOX9IrxzPDCelC4xZ8bOwGqyxhXJfHg+\nafSidq/cnZSBYWp+ChduXkBPlfIeAOFYOF6vxPUrEy5MXJD8PTU/BbddGiZ9LjyHyblJlJdIOyEM\nDOOBcYSiIYSiIQRCgfiIBdB3ZKBUboK5Morktnh0+CiCkSDcQTdKLYlgeDHEEIvF4FmeevvXTGLf\nGgBIQjuK8h2OheNpD0VDsJgs8b+NBiM8Hg/f9vK55/Dfv/xvvPrLV3Hz5k389tXf4ujJo5ibncPr\nr78Om82GT33qUzh79izWpNvkSEfuWmUgCN7BmUGJMpien0YoGpIogBiLYTY0i5M3TiISi6C3uheD\nM4OYmp9CiaUEW5u2goHBYrQkN3SVRnJo4BBcNldaW3+qoasWLwphfcCIbwQjvhF0V3ZjedVy+BZ8\neHv4bbR6WrG8ajkGZgbiz5sLz8FpU9gfV4Sg2NS8PcT4FnwY8Y2gulQ9NITY/KRl8k8y+gKTfC/5\n3MuhgUOqCsAAA+bD87CZbYpKMpVZTBgxTs1PKX5Hrb1lxljcO+adkXcUr0lXHhduXkgazY34RtDk\nSgTpk5sohcljgfM3z8Mb5F5a9U5pXCnGmGQEKDdppsqrlonpcDSMUDSEcEzZK85gMKi2pUwnvvOF\nvHwZY/Av+OOyweF04OX/72UsW7YMDY0NcDqdeOGnL+DBD/NtL10uF2y39z4xm82wLHK4jKJUBoJZ\nwWVzodGVfhOPq1NX0VnRiYXIAv4w9AcAgMOa2PM4Goviuv96vKGcv3k+3mv2L/hxYeICRn2jsJvt\nSY322sw1rKpZlVSRBRtmLuy/sj/leaXGc3nyMto97Tg0cCj+9/Kq5UkupJmkLcZiMBqMSXn/4NYH\nqCurw+FBPjGWygvn7ZG347+rKcBoLKpokkrlqQOkzstceA4H+w+i2lGNe5vulZybmp9SNJeJ0+kN\neuOCXI7WkY2W64R6qUQwElS0o7934z2JMkjXexfqN5Cs5BkYTIZE2SsJPjXeGngr5XsBbj5M1fEx\nwJC1Kcr3/hnF42WWMgTCUhOwYCYKR3kv32qywmAwIBThIyJ2+x8AOK1OgDFF82s4FsZCdCF+bTgW\nhtvtxo9+8CP8/Oc/5/e7nHj+h8/jlVdfkdx75swZTE1NYcWK1GZRvSkaZeBb8KFvog+RWAS1jtr4\nBJTYVqtG30QfBmYG0F7eHj8mnqSLsqikxyI3nwg9UaUeyrXpa6hx1GhetKUXjLG4EBZjMpokgldA\nyT1PK/su78OWpi3w2D2S45cmL6VcbyBGLIjUBMu+K/uwsnolZsPSCVSG1MpAC4Irqhg1IS8QjobR\nN9Gnel6zmUuDkJOXyZvX3sS2lm2wmqyazEa5lg9jTJJO+ejrwNUDqC2rxT0N90iE41hgLKkuXZm6\nAsYYSiwlaHI1IcZiaSdvDQYDtOgCxTUbrcqbRQVNVsRko+uYzXXbEsCVBDPbYTfbMafgcOKDAcZQ\nAGXWMkWFIJcHLrcLbrcbWz60BQDgdDrR3tGOVatXxa+5desW/uqv/iqxC9oiUjTKIMZi8QZtNye2\n5dO6aGcuPIcLNy8onouxWE6LutSG/vkkFA0p9oijsahimAO5sMnEsyLGYjg+ehx7OvZkntAMYIwp\nrjhNNzLQSqarfcOxcMrORiZzHpkSCAVwceIimlxNSW6scqKxqKbeeSrkCldJ6I4HxjEbno07XzDG\nFFeIi+dW3rvxnmQCP1cyGT0omVlnQ7MSk2MqE5RgnvQueCXeh2r84PkfSP5+4b9ekKYnFMKff+rP\n8S//8i+ozcc+I2koGmVgMSbsa3q4iImJxqK6PzPfqNlelYixWM7CVI9nZEvfRF/SaCEb0o0E5KRb\nHKZVyGdr/hjyDqXt7JweO626oDET5N9XrT2cHjuNqtIquG1uVJVWaXq2ljUyi7VGQMlZRMuchB6r\noF/+xcs4ffo0/uZv/gYA8K1vfQtbt27N+bla0U0ZLCws4Atf+AJ+//vfw+/3Y8OGDfi3f/s3rFy5\nUq9XpESsmfUOzRBjsYwCtRUaIW6PVoKRYM6ugYyxvIXESMdihGzIBq3KUaspLRv0UARA8uhLTThP\nz0/HzVYra9TbvtIc093Op/7iU/jUX3wKTqszI3dtvdBt0VkkEkFHRweOHTuGqakpfOQjH8Hjjz+u\n1+PTInbBzKRXXKxk0pMa9Y3q0jBzNUUUG2oRSeVo8cgqNP3T/RJXUi2omV3ryuqwsWFjRs8ixZF/\nDCxP469QKAS73Y6JiQlUVlZqvs/j4ZOQMzOZBzB77cprGPGOwGQ05bxS9m6i0dWIQCggmcRNRWVp\n5aKGqSCKi0ZXI5pdzaohM7KlGc1odbeisl67vFlqlFhKJAtelRgc5OFBWltbJcdzkZ1AHucMjh49\nipqamiRFICRYDa/XC7fbnfIaNUwGEz73m89ldS9BEHc2f7f67/DE8icQ8GYXFn0psLxqecHenZfY\nRDMzM/j85z+Pb37zm/l4vCqFsLMRBEHoRa4h73NB95FBMBjE448/jr179+Kpp55KOp9uCJNu5JAK\no8GI5/c+H/+72lGNBmeDZJVlJmxq3ASHxRFfoOW0ObGlaYvkmonZCQRCgZQLqrQiN79UlFTAYDDo\ntklLg6sB133pJ8JdNlfWC+JW167GufFzWd2bT3IxHba4W7CsahmuTl2N79eghtrEaIOrAZ3lnZie\nn854Q5ZNjZvQN9GHuVD6KKtr69ai2sFXevdN9Kl+b6W6YLfYEQwnPGf2dO7Bwavpo7XKqXJU4das\nssvtnk7ufhxjMbzR/wYAXs9DsRACC4ke/ZraNRkFiFxRvQLMy1BqLkW1W7rS3WVzYSG6oBgK22qy\nKnoCpVrxrESJpUSy/shmtkneZzfbYTKYYDKaEIlFNEXMVSMajeZldbKuyiAajeKTn/wkGhsb8d3v\nflfPR2vCZDChtizhn9tT1QO3za3ouua0OeGwOFK6tQkBzwZmBhCMBLGiegXaPG2Sa4S/s92xS8zD\nXQ9LVhULwduUAoy1uFtQYinBiG8kZRRLMbvbd+PQwKG0bnDlJeUomS9JeQ0AdFd2J00qtrhbJJu6\nCDS7m3P2bHHanFlvBbmqZhWGvENJSq7J1ZR2orfR1Yg2TxsWIgtpG7GaEHm0+1EAPMaOUnTaVKyr\nW4d1deswNT+V1v31nsZ74r97g15VBdjqbk061+JukXhmtXnaJO0pFQaDAS6bC96gF9tatqluTCNu\nP/5GP4a8Q9hQvwFnx8/CYeGr/lfXrkaLu0US3dZtd8Ntcyt6jrntbmxr2YbrN65jenoaiAAWGxeW\ngmeOzWxDwBBIcom1mqyKnnR2sz2jMBcl5pL4s+1me1KnQBzexcqsWTu5TE1NYWFhAU5n6nAx2aCr\nMvjc5z6H+fl5vPzyy5q3aNQTeWwZu9mumI6q0ipsbeb+u69+8Gra597fcj98C754jysd8p51VWmV\n6uKkGkdNXHiqDRFry2qxsmZl3Duj2lGNNbVrYDAYMnZ51Su6pNloRnVpdZIyUCpvq8mKipKKnJWB\nOByCvLG1elpTxt23mCxodjcnebisr18vUQZ7Ovao7l2gR50WL4jMFD1NCEoBEAWFmS3bmrchGAnC\nYXXAY/fgt/7fprx+bd1a9FT1wG62Y8Q3Em8HgsJwWB2YDc1iZc1KdJR3AFB2IxbWGNVU1yDgD+Dm\njZuwWPkxrynhFBGOhhGDdNRmNpgRYclrJqxGK0IxbWsHjDBixjgTv95sMMNgMEgEvjgdamkRniWP\ndioQjUbjiqCqStsajkzQTRkMDg7iZz/7Gex2O8rLExEP9+3bh+3bt+v1mpTIlUG5vVxRu4sXlsh7\nhmvr1uLM2BnJRE6JpQQllvQ9ZYHlVcslPfkya5miMqgtq4Xb5o43ArVw2oBUEKyrW5dWMLntbhgN\nRpiN5vjKbKvJqtpT7CjviK9N0DI8NhlNiumVCyyz0Yx7Gu+B0+qEr9wHxhiaXE0wG80Ix8IY9Y0i\nGAlqWngkfp9YGZiNZqypXQNv0Bvfp0I8bG92N6OurC5JWSj5wdvMtuQ83S5rLcI4XdmVWkrjQg6Q\ndgbSkap+KCGuI/IRS72zXrK+obOiM/5Ns3XjNBlN8ZheRoMRu9p34dDAoZTPE5Rjb3UvbGYbGpwN\n8XPbW7bDu+BFZYk27yCz2YzGxkaM3RrDTf9NuGwu2EyJ72kwGDA9O8178AYuHywWC4KhIIwGo2QF\nequnFf4Ff9Kou9pRnRS6xGFxoLy0HGN+XofddjdsJpukXTe7myX3+BZ8itaEMmsZKkuV82uxWOKK\nIB+dbd2UQWtra8F3EhJXuvbydjhtTsVAY+LgXevq1sWVQV1ZHVrcLagvq1fVzulw291JQ2utjVjr\nB5Zvpyinp6oHyyqXxf/2LfhgMVqSGvrmxs2wm+2YCc6gxd2ScqGa3Wzngbduv89kUFYGYroru9FT\n2RPP16qaVUnXVJRUaN64RuwgYDaa40J1V/uupGtb3C3xLS8Fc58479tatqGipCLpvpQKWYcGaDAY\nsLNtJ+bCc7CarAhGgnGhUe+sR5OrCZcnLytuvqT0frPRrGl1/Namrbg0eQkNzgaUl5Qnxe0X4kql\nGjlWlFRgan4KDc4G2Mw2MMbiGxEpKcoyaxk6yjuSNqpRwmlzJu1DYTFZklYxb2/djsuTl1U7Dw6H\nA52OTnSiU/G82nGAh8KenJtEbVktWhtbMT02Da9X2qNf37weVwak+WmobkCrpxUXLvNRZ01lDR81\nD/NRs3j/EoH6aD36JvpQUVIhmdN0u91orZNeu1gUTTgKQLpEvquiC4C0ki6vWo5qR7UkoJpSA8tW\nEcjfJ6BZGaToeWYiiMSKAFDfsENQWvKY9mJKLCUot5ejp6oH746+G+/NOKwOxTSJjxkNxqwEqJq9\nVlyOwUgQD3Q8IAmtLB7xdVV0wW62SwS++H55UD01zEZz3ESh1UzT6GqMh6pwWB3oqZTuUWA0GOO+\n5OI5iGZXM2rLajEWGFNWBrL3e+werKldg+ngNC7cvIAN9RtU0+Sxe+KmUSXSdeSMBiO2NG2Bb8GH\ncnt5fKQh3pVuMfDYPbin8R6JeVevXvKG+g24OXsTtQ7eLpTarVw2dJR3oKO8I6mDls6z0WqyYl3d\nOoSjYZxBQhkUwrwuULTKQAhPUV5SjlJLKRgYOis6Mx5qZ4o8DjyQWhk0u5txafJSPFSugLzSiYe7\n4ufZzfaMJq+1mgE2N27GqH8UK6tXxk0nW5q2xM1dtY5aZS8MUaPQKjzleb236V6cGT8Dl80lMe3U\nOmrjm84IeRG/Qpwvo8GIFrc0WmWrpxUDMwOqO9zJG2KppRQ723bGG7bWhrqqZhUqSypRVVolCYWu\nhMvmgt1sBwOL94LV6ovD6kCZtQyBUEBiR3fb3WhxtyTdJ/kWCmnf3rpd8wb1NrMNZqNZolwLKbjy\ngd1sl9QZeXmuq1snmfOxmCyKpsYaR43k3lSjLbnSyLd8SkVRKYMGZwOuTF2RbFQi2C6F31ORyzqF\nnW07MTU/lWQbBNQbjclgQqmlFA91PhSf0Gt2N2PEN4Le6l7JtYIJq8RSIhGea+vWxsNjp9vXGeCC\n9r2x99Iubqktq00yd5VaSiWNRe4RsaJ6RdLIQAvNrmZMz0/DYDBgdc1q2My2+LaOYmXQ6mlN6W6Y\nznXUbDTjgY4HVM8LE9SCA8CyymWSOiGewK4oqcBseFbVXVFuFlDDaDBid/tu/vzb7xKXm/j9RoMR\nO9t2IsqiSRPA6cpa6bxYsAmdJ/kIQXC97CxXN68A6nW8tqxWk5loKSLeNa27sluxbYvZ3b4bc+E5\nVJZWSuYaUo265N+FlIFOdFd2o8xalrRlX7oC7ijvwI3ADayoyn4zCafNKXEfE08SyjEYDLCarHGB\nL560XFe3DqtrVicpJoPBgLV1ydv3lVpKsb11OxhjuDp9FW5b6tXblaWVaUNNZ1Mh19atRYu7RbJO\nQmvP0Wa2SVwisyVbZd5T1YMrU1fiex5va9mGQCiQZEqqLatFdaAaoWgIXRVdGAuM6RIkL1XvUL7X\nscFggNmgrdmmK3+72Y6eqh4sRBZUPeV2tO3ATHAmbjrJFKV5mTuFNk8bbCYbGJhimG25kHdYHZIJ\n9GwgZaATZqM5rfZWYmXNypQRFrNhR+sOnLh+AhUlFUlmmU0Nm1LGcM9GqBkMhvg8SbZ0lHdg2Des\nqHTSIfSaJR4seVhN6ba7VWMobajfgGMjx9L2YuUsq1yGroqueEM0G82Kcwp2s12yG5rZaMawbxgO\ni0OXdSYCYoGQLk5NKlrdrbg2fS1lrH35/JLgVSZ4z9nNdk37DRRy5Wy+MBqMKXdK1Gr+SefOva1l\nW3z9iHj0udgUlTJYSpiMpvhq5en56bgbX2dFp66beejJypqV6K3u1dyjLzEn3G2VeoB62JSFOQ6h\nzDY1bMLpsdNodSebYTx2Dx7ufDir92bTI6ssrcTDnQ/DZDTht5dS+9RngtgElIuQddqceKDjAU0b\nrwisqF6B8pJyze6cS4FCxvNRQzJnoMHdWOm+xYaUwSJQXlKO+5rvg81sy6mntxhkIkhNRhN2t+9G\nlEXjPclsJpBTsbNtJ8YCY/G5ilJLKe5rvk/1+sWe1JRPfuthFmnztGHYOwyXzZVzfsSCRgtGg1Hi\n668HmYZ20MKWpi14Z+QdtLhbNHuG6U2qPMnnl1IhbiekDO4C1BaS3OnIvWXE8x+ZLNRL9fzOiszM\nPoVgR9sODHuHdUmr2WhWXDuxlJHP04nZ0rgFx0ePo7uyW7f31Thq8Ej3I4orqReLVCMug8GA7a3b\nsRBZSFk2gNSMVMhgm3nbzyBbco3JTRQeYRP0JldT0bkfElJGfaO4EbiBnsoeiQOFnBiLFbTXqyeD\nM4O4MnUFmxo2pVyjo5UYi8XNjHs69mTdicpVdpIyIAiCKDDBSBDRWDTtupRULNnNbQiCIAht5BLA\nUC+KY9xGEARB5AQpA4IgCIKUAUEQBEHKgCAIggApA4IgCAKkDAiCIAiQMiAIgiBAyoAgCIIAKQOC\nIAgCpAwIgiAIkDIgCIIgQMqAIAiCACkDgiAIAqQMCIIgCJAyIAiCIEDKgCAIggApA4IgCAKkDAiC\nIAiQMiAIgiBAyoAgCIIAKQOCIAgCpAwIgiAI6KgMnn76afT29sJoNOIXv/iFXo8lCIIgFgHdlEF3\ndzeeffZZbN68Wa9HEgRBEIuEbsrgySefxIMPPgi73a7XIwmCIIhFwrzYL/R4PCnPe71euN3uRUoN\nQRAEAdAEMkEQBIECjAxmZmZSnk83ciAIgiD0h0YGBEEQhH7KIBwOIxgMIhaLSX4nCIIglj66KYPP\nfe5zKCkpwZEjR/AXf/EXKCkpweHDh/V6PEEQBJFHDIwxVuhEiBHmDNLNLRAEQRAJcpWdNGdAEARB\nkDIgCIIgSBkQBEEQIGVAEARBgJQBQRAEAVIGBEEQBEgZEARBECBlQBAEQYCUAUEQBAFSBgRBEARI\nGRAEQRAgZUAQBEGAlAFBEAQBUgYEQRAESBkQBEEQIGVAEARBgJQBQRAEAVIGBEEQBEgZEARBECBl\nQBAEQYCUAUEQBAFSBgRBEARIGRAEQRAgZUAQBEGAlAFBEAQBUgYEQRAESBkQBEEQIGVAEARBgJQB\nQRAEAVIGBEEQBEgZEARBECBlQBAEQYCUAUEQBAGdlcH4+DgeeughlJaWYs2aNTh58qSejycIgiDy\nhK7K4Itf/CK6urowOTmJr3zlK/jYxz6GcDis5ysIgiCIPGBgjDE9HuT3+1FZWYnh4WHU1tYCANra\n2vDv//7v2LFjh+bneDweAMDMzIweySIIgrgryFV2mvVKyOXLl+HxeOKKAABWr16Nvr4+iTIQEqyG\n1+uF2+3WK1kEQRCEBnQzE83OzsLlckmOuVwuBAIBvV5BEARB5AndRgYOhwN+v19yzOfzoaysTHIs\n3RAm3ciBIAiC0B/dRgbd3d2Ynp7G+Ph4/Nj58+fR29ur1ysIgiCIPKGbMnA6ndi7dy+eeeYZBINB\n/OQnPwFjDPfdd59eryAIgiDyhG5mIgD44Q9/iCeffBLl5eXo6urCK6+8AovFoucrCIIgiDygm2up\nXpBrKUEQRObkKjspHAVBEARByoAgCIIgZUAQBEGAlAFBEAQBUgYEQRAESBkQBEEQIGVAEARBgJQB\nQRAEAVIGBEEQBEgZEARBECBlQBAEQYCUAUEQBAFSBgRBEARIGRAEQRAgZUAQBEGAlAFBEAQBUgYE\nQRAESBkQBEEQIGVAEARBgJQBQRAEAVIGBEEQBEgZEARBECBlQBAEQYCUAUEQBAFSBgRBEARIGRAE\nQRAgZUAQBEGAlAFBEAQBUgYEQRAESBkQBEEQIGVAEARBADAXOgEEsVSJRgGTqdCpyI7z54GpKaCn\nB6itLXRqiDsBGhkQdySxWH6ff+oUsH8/EAjk9z35IBgErl0DvF7g4sVCp4a4U8hZGYyPj2Pv3r2o\nrq6G3W7XI01LnoUFYHAQmJ8vzLsFQTg3B4TDi5+GXIhGc3/G2Biwbx/Q35/5vVNTwJEj0nuHhoAr\nV6TXjY7ytPb15ZbWQiBWlKFQ8rn+fsDnW9w0FQLGCp2CO4uclYHRaMTevXvx05/+VI/03BGcPct/\nTp5MfV0sBly6xAWQ+Nj0dPqKOjkJnD7Ne3kCgQBw4ADw1lvA7Czw+uvAwYNZZ0MXYjFgZoYrqRs3\nAL9f/dqJCeC113iZ5MK77/L3XriQ+b3nz/P0XriQEIxnzvAetPg7LQWi0WRhDvDyO3pUvSMgrlvy\nEdSlSzzvhw7xOnT9ev5HWYUgFOJtI10bJRLkPGdQXV2NL3zhCxgYGNAhObmTLhlCz1SrLVjJbnzm\nDP9/fJwLQb8fWLOGN85AACgvB4xG4OpVPlwHgD17+P9nzwI3bwKNjcCKFdLnRiLA8DB/5sgIPzY0\nxJ8NAO+/z98J8AYv/N7fz98nMDvL393SAng82vKpRiTCBUh1Nf8RYIyPjuQ9agC4/35APkicnwf+\n+Ef++40bgNXKy8vnS5SX8NxYLPX3EfINJL63INCMabo3V64krv2v/5Iq2/ffBxoapO+IxdLXqUyY\nn+cCqq4O6OpSvy4SAQ4f5u/fvh2w2RLnDh/m/8/OAt3dyfcGAon0m83S9J8+nTB9vfIKF5odHfwn\nX8RigMHAf/QkFOKjxNpaafkAwHvv8Q7V4CCvUxUV6etGKsbHueJcsSK5bsuJRoFbtxL1OhAA3O7U\n+Z+a4s9/4AGgpCT7dObCok8ge9JIJ6/XC7fbnfXz29uzvpUgCKKgnDwJbNhQmHcXjTeR36/cSyUI\ngrhTKKTDQlpl8Mgjj+DIkSOK5/7+7/8ef/u3f5vRC2dmZlKeTzdyUCMa5aaV559PPrdjB2CxSM02\nmWAyZTbx6XAAW7cCx48nJurMZj70X2y6u4HLl5OPC2art95KpEs4BnBzxq1b3Gw1N5c4brdzM9DI\nCDerpOOBB4A//IGbvrSkS42eHqC5mc87CGY6gJtbxsYSf69YwU1wt25xkwgAbNrE8yE2L2mlpiZh\nphPPz6xfz00Rcrq6uElgfj5hcjp6VFqGAh0dQH09L9NDh9TrR2UlH/EODXETY6YI35UxXifV5nVs\nNp6mkRFuxpucBEpLE2mvrwdWrlS+V23uymiUzkkI3+f8+cR3W7aMm7xaW7kwPHtWPQ96zpFt2sTN\nqH193ESjRHs70NmZeK/VqjyPIy4nJWw2bu4TUMuHxaIt7fkgrTLYt2/fYqQjZwSboZJPtdfLK+Tc\n3OL4XHs8/J0lJYWz/wn4fMp5Zow3+srKxLGLF7kw6+7mAnxmBnA6+Y+YhgauHKen07/f7Vaet1BL\nlxozM1xQWK3S+xiT/j01lRCyN27wY01NXBlk8+0bGoC2Nj6/Ib7/+nXl5/n9CWHrdvP7lcoQ4ALw\nyhWgrEz6HZQYHuY252zy0NbGvaPOnuVCq7RU/dqpqcR54V1C2oWyiET49zAYeMfHbteervp6/gyx\nE4XXy/8fHeWCV+lZ09NcAevZfm/e5Ip+bk69szc3xzstWt6r9I3F9PfzOtHUpP68uTleLnrPr2jB\nwFjuDljBYBCDg4NYu3YtZmZmYDAYYJPP6GhEGBmkG0HIicWA3/42q1cSMjo6Urtttrbynr64R76U\naW7mwjRb3O6EwMoUmy15VLTYGAz6uFk2NnKnhLfflh6Xj85S0dTEO0iZjAoFduzgIyilZwoOF8XA\nrl28g5Ap2cpOAV2UgUGmxlpbW7P2LsolQwcOFL7hEUQ+sdulHlAEcM893N24kOTSYZDzyCPcrJwp\nuSoDXVYgM8YkP4VyM1Vys7sbyaZXoRWHI3/PzjctLdk3tKXAtm18lJOKpZK3xUyH08nt/4Wirg7Y\nskW/5xXqGxZVOIr2dqlCqKjgE7l6c++90r97evR/Ry5kowx27+bD8B07eOVW8qWurubX7doFrFvH\nzQZyslmErramQE83YZeLP89sBh5+mNut5Xz4w7k16vLyzK53u7X7vrtcvD6nsyWrrV1oaUk+VlWl\n7d2Z0trKyzib52/enFwmO3aktsfbbHwuYtWqzOvf8uWZp1HO+vXJ6xzuRIpKGQD8437kI8Devbwn\nJW+gVqu259TXJ4RUfX3iuNmcPCks1+Qf+lDhApzV1fGfTHE4uMBxufiw+8EHk5WesOisrIz3UDds\nSBbY994L9PZm9m6xl4UYsxm47z5p+ctpa5OWdVcXsHEjz09VFVdcH/4wFyguF7/GaOSCVY7Folw/\nWloSnkFinE6eNo+He7toESyCou7q4vXk0UfT3wMorxJuaQEeeyyxYGzLFuXRcWkpsHat9JjadQJr\n13LBrEZ7u7TcV69O/B6N8jLeupV/i0woL5cuxjQaeXtTG/WvXp1of+3twM6d2t91zz36WBO0tnUt\nnkL5XPyXjiUyqNQfoVmopH0AAAyuSURBVAdlMgEPPcRduWIxLgTkk101NVyA9ffz69vbuTCJxRK9\nlFdfTX62gPgjezy8x/fAA/xes5mvvNXieSNn3bqEe6QWNm7kQisW454ZExNcmB49ys87nanDRcgR\nrzgGlIevYrORxZLwnPF6eRq0oNbbtdu5l01lpbT8xSxbxnui77/PBawg5JWEt5iGBh6MTo7SqKq3\nl7uKCu6HjY3828h7sCUlvHfq9/M6pWTH3rGDl43gYWUw8Dxcu8aFp7C6WI6gDMRltXo1T8PKlVKX\nT7Gb4+7dCQXX3p5wrV62DDh2LHFPXR33bhIoL0/dG1+1igtSg4HXC6MROHeOnxN75jQ08PScOsUV\nt8/He9FKa4K6unha29oS7ptNTbxeictaPCEuH+EpCVyHgyuYkRFeLoEAT1e6TlNjI0/vpk1cZiws\nJBwrXC5eL2y2xDfZsIG7qarN6ZSXJzzbJiYS6RWHFVFz3V0MilYZiLHZeE93dpZXtmCQV7bSUt47\nEIScvPekNoQvKeEVbHaWK4/y8sQ6gtbWxDsFNm/mPuJWq9RHPhW7d/N31NXxcAJKPv0mE+/1BgK8\nogrDcqNR2qvfsIG70dXUKAtArSi5JDY3cwETi/FeuPid69dzwajkASJQWZksgHt6eFmJ7ePl5Vyh\nyv28jUbeMFP1YpUwGLiyExqlgNnMy35mhuerpoY3WPE7U4U2EI+UHnuMf3dBSC5fzu+Tj1Z7ehKm\nxt5e5eB4gplHPKJRU6Li42JlvXw5V0JC+uvr+VoCgNf90VEet8jpTJ4bcrm4ABZ3JtRMI/LjHg8v\nUzFCXCink9fx5ubEO43G5FGWOE+lpVLFlY6aGp7XVCNMOZWV0pXAgvlNUAa1tcmdpcZG/qPWcTGb\nE6ZVod6VlCSUwX33aU9fPrgrlAHAhYjQQ1IzS2iBMV5Zd+7kSsVq5R951y7ei5BXEOHdXV3aA6G5\nXAnBa7Hw3oSgDEpKEtFSGxsTwjAVQiVVW93Y2aktXUp5E/IOJAsng4Gnbft2HilUzM6dvPELQnX9\net5jWrdOeW3Gxo1cKba0AG+8kTieS7yZLVsSi9PE8x8OB/8RHxObArT63xmNvOdaXs5HA0pzLHI6\nOxPfIxDgQtPnS4x0qqq4kCopydwX3WzmdUmgrY0f83h4HW1v5+VrNCo/e9MmvlZBbS5n5Ureg9Yy\nh9bbyxWA06ktH9XVfKQodHROn5bmRcyWLcA77yT+zsaer1avGhsTa1nUEDoscs8vwSRVWcnPmUy8\n7IWFqZnOOenNXaMM9MZolPaU7fb0k1fyj71tWyJ4G8BNCDYbVwDiBlJSwnu+jPFeVCTCh7vpFrnI\nKSvjDfrECf63w8FXE6eaR1m1ivdUU8VLSdeYPR7uxTM0lIg0Kh/6NzWpN26Al4FgS964MRGNMhdl\nIIwOHnww/bXi92TqjO12859MEUZMcmWfTqloVRIGQ7J3ktz+LbhM9vTw9KTqvWYS8E7oKGjFZOKj\nC4OBf4tU6aipSU6XVhoauEJTM9doiRu0axcfQVVU8HZ67hxXAEJ+7XY+x2Qw8JXYAoVYaCaGlEGG\npBJY6TAY+HBcMBU5HLxy3bjBV0KmEsriFYtmc2YNSYwwXB4b43bjdBPq7e3c9JWL0AV4mtva+HtL\nSrLzOhJoaOCNraxs8RqQOP+5lsWdxLZt2XU88kEmThkNDXyOp6Iis/s2buSdrVzcO63WxIpyhyPZ\nEQOQzmnKjxUKUgYa2b2b293T+Xmno7GRx0gqLeWjAMGEs5hs2pRZhddL+KXr0WXCYrvzms2JSdZc\n60C+qa/PboWvEibT0lAEmbJ2LS8HJdOmnHXruPlLmDNcTD//zk5uHlXybltsdFmBrCe5rqIjiLud\nWIzH8a+qujMFeSEQew4uNnrFIspVdtLIgCCKDKOR9vXIlEKa/gptHhK4i6yfBEEQhBqkDAiCIAhS\nBgRBEAQpA4IgCAKkDAiCIAiQMiAIgiCwBNcZGI1GMMbgzmb9PkEQxF2K1+uFwWBATCneuQaW3MjA\naDQmbaOpFa/XC69ee8/dIVCe7w7utjzfbfkFcs+zwWCAMYcFE0tuZJALd+PqZcrz3cHdlue7Lb9A\n4fO85EYGBEEQxOJDyoAgCIIgZUAQBEGQMiAIgiBAyoAgCIIAKQOCIAgCpAwIgiAIFNk6A4IgCCI7\naGRAEARBkDIgCIIgSBkQBEEQIGVAEARBoIiUwfj4OB566CGUlpZizZo1OHnyZKGTlDMLCwv47Gc/\ni6amJrjdbuzatQsXLlyIn3/mmWdQWVmJ6upqfOc735Hce+zYMaxcuRIOhwOPPvooJicnFzv5OfH2\n22/DaDTi29/+dvxYseaXMYZnnnkGDQ0NcLlc2LlzZ/xcseb51KlTuO++++ByudDZ2Ymf//zn8XPF\nkuenn34avb29MBqN+MUvfiE5l20eZ2dn8YlPfAJlZWXo7OzE/v379UswKxKeeOIJ9sUvfpHNzc2x\nH//4x6y1tZWFQqFCJysnAoEA+8Y3vsGGh4dZJBJh//zP/8y6uroYY4z96le/Ym1tbWxwcJBdvXqV\nNTQ0sAMHDjDGGJufn2cNDQ3sxRdfZLOzs+wzn/kM+7M/+7NCZiUjotEo27x5M9uyZQv71re+xRgr\n7vw+++yzbM+ePWx0dJRFo1F28uRJxlhx53nlypXsH//xH+P5dTqd7NKlS0WV5xdffJEdOHCAbdmy\nhb300kvx47nk8atf/Sr76Ec/yvx+P/vNb37DPB4Pm5yc1CW9RaEMfD4fs1gsbGxsLH6stbWVvfXW\nWwVMlf4sLCwwg8HAbt26xT7xiU+w73znO/FzTz/9NPvMZz7DGGNs3759bMWKFfFz/f39zG63s2Aw\nuOhpzoYf/OAH7Ktf/Sr79Kc/HVcGxZrfSCTC6urqWH9/f9K5Ys0zY4yVlZVJ8nzPPfewX//610WZ\n5x07dkiUQS55rK2tZe+8847k2S+88IIu6SwKM9Hly5fh8XhQW1sbP7Z69Wr09fUVMFX6c/ToUdTU\n1KCyshJ9fX1YtWpV/Jw4v/Jz7e3tMJvN6O/vX/Q0Z8rk5CSeffZZPP3005LjxZrf4eFhBINBvPji\ni6ipqUFvby9efvllAMWbZwD48pe/jBdffBGRSATHjx/HyMgItmzZUtR5Fsg2j1NTUxgfH1e9N1fM\nujylwMzOzsLlckmOuVwuBAKBAqVIf2ZmZvD5z38e3/zmNwEk51mc3zu5PL7+9a/ja1/7WtK2p8Wa\n3+vXr2NmZgZjY2MYGhrCiRMn8Mgjj2D9+vVFm2cA2Lt3L5588kl84xvfAAD85Cc/QU1NTVHnWSDb\nPJaVlcFkMqG0tFRyTq/NcIpCGTgcDvj9fskxn8+HsrKyAqVIX4LBIB5//HHs3bsXTz31FIDkPIvz\ne6eWx8mTJ3Hq1Cn86Ec/SjpXjPkFgJKSEgBcCdrtdtx///3YtWsX3nrrraLN89TUFB577DG88MIL\n+OhHP4qLFy/iwx/+MFasWFG0eRaTbR4dDgei0Sjm5+fj9UbP/BeFmai7uxvT09MYHx+PHzt//jx6\ne3sLmCp9iEaj+OQnP4nGxkZ897vfjR/v7e3F+fPn43+L8ys/NzAwgEgkgo6OjsVLeBYcOXIEfX19\nqKmpQVVVFX7xi1/gmWeewVNPPVWU+QV43bVYLIrnijXPV69ehcvlwhNPPAGTyYRVq1Zh586dOHz4\ncNHmWUy2eayoqEBtba3qvTmjy8zDEuCJJ55gX/7yl9n8/Dx7/vnni8KbiDHGPvvZz7KHHnooKS+/\n+tWvWEdHBxsaGmL9/f2ssbFR4pFQX1/P/vM//5PNzc2xp556akl7XQj4/X42PDwc//nTP/1T9vWv\nf51NTk4WZX4F/uRP/oR95StfYaFQiB07doy5XC525cqVos3zzMwMc7vd7Ne//jWLxWLs4sWLrL6+\nnu3bt6+o8hwKhdj8/Dzbvn07+/nPf87m5+dZNBrNKY9f/epX2eOPP84CgQD73e9+xzweD7t165Yu\n6S0aZTA2Nsb27NnD7HY7W7VqFTtx4kShk5QzAwMDDACz2+3M4XDEfw4fPswYY+wf/uEfWEVFBaus\nrGTf/va3JfcePXqUrVixgpWUlLBHHnlEtwqzmIi9iRgr3vxOTEywxx57jDkcDtbd3c3+53/+J36u\nWPP82muvsbVr17KysjLW3NzM/umf/il+rljy/OlPf5oBkPy8+eabjLHs8xgIBNjHP/5xVlpayjo6\nOti+fft0Sy9FLSUIgiCKY86AIAiCyA1SBgRBEAQpA4IgCIKUAUEQBAFSBgRBEARIGRAEQRAgZUAQ\nBEGAlAFBEAQBUgYEQRAEgP8fEUnF37QLpwoAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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98ACQkiJurImjli/RSuigl5fZFhWJex1iJY/oAXEXNFEi6A5043+O/g8A4M7y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\n/w8wbj4CjZlYHgAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 600x400 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "# Trace plots\n",
        "colors = ['b', 'g', 'r']\n",
        "for i in range(3):\n",
        "  plt.plot(samples[:, i], c=colors[i], alpha=.3)\n",
        "  plt.hlines(true_w[i], 0, 1000, zorder=4, color=colors[i], label=\"$w_{}$\".format(i))\n",
        "plt.legend(loc='upper right')\n",
        "plt.show()\n",
        "\n",
        "# Histogram of samples\n",
        "for i in range(3):\n",
        "  sns.distplot(samples[:, i], color=colors[i])\n",
        "ymax = plt.ylim()[1]\n",
        "for i in range(3):\n",
        "  plt.vlines(true_w[i], 0, ymax, color=colors[i])\n",
        "plt.ylim(0, ymax)\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wgBUkL1OKJn4"
      },
      "source": [
        "### 진단\n",
        "\n",
        "추적 플롯도 좋지만 진단은 더 좋습니다.\n",
        "\n",
        "먼저 여러 chain을 실행해야 합니다. 여러 chain을 실행하는 일은 `initial_state` 텐서의 배치를 제공하는 것만큼 간단합니다."
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "IqPcDhD7H3Dw"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Acceptance rate: 0.59175\n",
            "R-hat diagnostic (per latent variable): [0.99998395 0.99932185 0.9997064 ]\n"
          ]
        }
      ],
      "source": [
        "# Instead of a single set of initial w's, we create a batch of 8.\n",
        "num_chains = 8\n",
        "initial_state = np.zeros([num_chains, num_features + 1])\n",
        "\n",
        "chains, kernel_results = run_chain(initial_state)\n",
        "\n",
        "r_hat = tfp.mcmc.potential_scale_reduction(chains)\n",
        "print(\"Acceptance rate:\", kernel_results.inner_results.is_accepted.numpy().mean())\n",
        "print(\"R-hat diagnostic (per latent variable):\", r_hat.numpy())"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "TjCHHvEL78by"
      },
      "source": [
        "### noise_scale 샘플링하기"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "_WLdLT875OpQ"
      },
      "outputs": [
        {
          "name": "stdout",
          "output_type": "stream",
          "text": [
            "Acceptance rate: 0.715875\n",
            "R-hat diagnostic (per w variable): [1.0000073  1.00458208 1.00450512]\n",
            "R-hat diagnostic (sigma): 1.0092056996149859\n"
          ]
        }
      ],
      "source": [
        "# Define the joint_log_prob function, and our unnormalized posterior.\n",
        "def joint_log_prob(w, sigma, x, y):\n",
        "  # Our model in maths is\n",
        "  #   w ~ MVN([0, 0, 0], diag([1, 1, 1]))\n",
        "  #   y_i ~ Normal(w @ x_i, noise_scale),  i=1..N\n",
        "\n",
        "  rv_w = tfd.MultivariateNormalDiag(\n",
        "    loc=np.zeros(num_features + 1),\n",
        "    scale_diag=np.ones(num_features + 1))\n",
        "  \n",
        "  rv_sigma = tfd.LogNormal(np.float64(1.), np.float64(5.))\n",
        "\n",
        "  rv_y = tfd.Normal(f(x, w), sigma[..., np.newaxis])\n",
        "  return (rv_w.log_prob(w) +\n",
        "          rv_sigma.log_prob(sigma) +\n",
        "          tf.reduce_sum(rv_y.log_prob(y), axis=-1))\n",
        "\n",
        "# Create our unnormalized target density by currying x and y from the joint.\n",
        "def unnormalized_posterior(w, sigma):\n",
        "  return joint_log_prob(w, sigma, xs, ys)\n",
        "\n",
        "\n",
        "# Create an HMC TransitionKernel\n",
        "hmc_kernel = tfp.mcmc.HamiltonianMonteCarlo(\n",
        "  target_log_prob_fn=unnormalized_posterior,\n",
        "  step_size=np.float64(.1),\n",
        "  num_leapfrog_steps=4)\n",
        "\n",
        "\n",
        "\n",
        "# Create a TransformedTransitionKernl\n",
        "transformed_kernel = tfp.mcmc.TransformedTransitionKernel(\n",
        "    inner_kernel=hmc_kernel,\n",
        "    bijector=[tfb.Identity(),    # w\n",
        "              tfb.Invert(tfb.Softplus())])   # sigma\n",
        "\n",
        "\n",
        "# Apply a simple step size adaptation during burnin\n",
        "@tf.function\n",
        "def run_chain(initial_state, num_results=1000, num_burnin_steps=500):\n",
        "  adaptive_kernel = tfp.mcmc.SimpleStepSizeAdaptation(\n",
        "      transformed_kernel,\n",
        "      num_adaptation_steps=int(.8 * num_burnin_steps),\n",
        "      target_accept_prob=np.float64(.75))\n",
        "\n",
        "  return tfp.mcmc.sample_chain(\n",
        "    num_results=num_results,\n",
        "    num_burnin_steps=num_burnin_steps,\n",
        "    current_state=initial_state,\n",
        "    kernel=adaptive_kernel,\n",
        "    seed=(0, 1),\n",
        "    trace_fn=lambda cs, kr: kr)\n",
        "\n",
        "\n",
        "# Instead of a single set of initial w's, we create a batch of 8.\n",
        "num_chains = 8\n",
        "initial_state = [np.zeros([num_chains, num_features + 1]),\n",
        "                 .54 * np.ones([num_chains], dtype=np.float64)]\n",
        "\n",
        "chains, kernel_results = run_chain(initial_state)\n",
        "\n",
        "r_hat = tfp.mcmc.potential_scale_reduction(chains)\n",
        "print(\"Acceptance rate:\", kernel_results.inner_results.inner_results.is_accepted.numpy().mean())\n",
        "print(\"R-hat diagnostic (per w variable):\", r_hat[0].numpy())\n",
        "print(\"R-hat diagnostic (sigma):\", r_hat[1].numpy())\n"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": null,
      "metadata": {
        "id": "fkQVcO1O9YSA"
      },
      "outputs": [
        {
          "data": {
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84dvMjz46SnTpEjt5rcqVWSE7D/7xH3UnttU2//zPnI3m1yki7/M3vyF6/HF/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\n6e4uDwLfuJH9WDJGHcaYdOeEfH3XrGG/j1fHvsq9smULf49nnuFApq6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2dP0iZYzVOp7l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Ksu3HrvvfdCFm41Nzejrq4O1dXV2Lt3Lx588EHcfPPNaXkOSTl+XFx+/jlQU2NqUUhulmpv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\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K1GRGUbtU81UUkbKhAfsiPx/P/5OT/jVGp26dz22QI/u4R3m5R/6dnAwSQnmQjR2iC9V9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\nJXzVprqDWg4jV693kH3Ud9TH2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NGclF7bvLKxgUgggC/MzTHHU77RwGg02uGfc4LrBwe4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\nNfIT9LWi441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            "text/plain": [
              "<Figure size 3200x800 with 32 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        },
        {
          "data": {
            "image/png": 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0dBw+7N7ck5aWhvT0dBQqVMh0KBJkBg4Ejh9nDrj33jP/PTmLJE7/8IVhw3jY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\nbNfYC3f2MbDjx4Fu3eTM3uBgOTbhzBm9q3Ido0fLtohr1mT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f02QV6bp1ctu5U1aW5uXv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\nrWr69yCp5N7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ypbqEiQgNHswHsWzZgLfeMh3NtRUuDJQpw/X06dwMFxG5nr/+YkdUAOjY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RuBgYHYunUrZs2ahcDAQGzZsgWTJk3C/fffj549e6Jfv3546qmnMHr0aLXLpWqsPHUKHx06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\nWXviBACRQUH8o1MnjmVlcSwrS3E6cTXX+2AcGRzMJ7168e7q1ZzOz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Did6HY4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\nEREREREREREREREREVGY+D931CLlOWUS8wAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 3200x800 with 32 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "output_type": "display_data"
        }
      ],
      "source": [
        "w_chains, sigma_chains = chains\n",
        "\n",
        "# Trace plots of w (one of 8 chains)\n",
        "colors = ['b', 'g', 'r', 'teal']\n",
        "fig, axes = plt.subplots(4, num_chains, figsize=(4 * num_chains, 8))\n",
        "for j in range(num_chains):\n",
        "  for i in range(3):\n",
        "    ax = axes[i][j]\n",
        "    ax.plot(w_chains[:, j, i], c=colors[i], alpha=.3)\n",
        "    ax.hlines(true_w[i], 0, 1000, zorder=4, color=colors[i], label=\"$w_{}$\".format(i))\n",
        "    ax.legend(loc='upper right')\n",
        "  ax = axes[3][j]\n",
        "  ax.plot(sigma_chains[:, j], alpha=.3, c=colors[3])\n",
        "  ax.hlines(noise_scale, 0, 1000, zorder=4, color=colors[3], label=r\"$\\sigma$\".format(i))\n",
        "  ax.legend(loc='upper right')\n",
        "fig.tight_layout()\n",
        "plt.show()\n",
        "\n",
        "# Histogram of samples of w\n",
        "fig, axes = plt.subplots(4, num_chains, figsize=(4 * num_chains, 8))\n",
        "for j in range(num_chains):\n",
        "  for i in range(3):\n",
        "    ax = axes[i][j]\n",
        "    sns.distplot(w_chains[:, j, i], color=colors[i], norm_hist=True, ax=ax, hist_kws={'alpha': .3})\n",
        "  for i in range(3):\n",
        "    ax = axes[i][j]\n",
        "    ymax = ax.get_ylim()[1]\n",
        "    ax.vlines(true_w[i], 0, ymax, color=colors[i], label=\"$w_{}$\".format(i), linewidth=3)\n",
        "    ax.set_ylim(0, ymax)\n",
        "    ax.legend(loc='upper right')\n",
        "\n",
        "\n",
        "  ax = axes[3][j]\n",
        "  sns.distplot(sigma_chains[:, j], color=colors[3], norm_hist=True, ax=ax, hist_kws={'alpha': .3})\n",
        "  ymax = ax.get_ylim()[1]\n",
        "  ax.vlines(noise_scale, 0, ymax, color=colors[3], label=r\"$\\sigma$\".format(i), linewidth=3)\n",
        "  ax.set_ylim(0, ymax)\n",
        "  ax.legend(loc='upper right')\n",
        "fig.tight_layout()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AvPb53zUkVlh"
      },
      "source": [
        "## 더 다양한 정보 살펴보기\n",
        "\n",
        "다음과 같은 다양한 블로그 게시물과 예제를 확인하세요.\n",
        "\n",
        "- 구조적 시계열 지원 [블로그](https://medium.com/tensorflow/structural-time-series-modeling-in-tensorflow-probability-344edac24083) [Colab](https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Structural_Time_Series_Modeling_Case_Studies_Atmospheric_CO2_and_Electricity_Demand.ipynb)\n",
        "- 확률적 Keras 레이어(입력: 텐서, 출력: 분포!) [블로그](https://medium.com/tensorflow/regression-with-probabilistic-layers-in-tensorflow-probability-e46ff5d37baf) [Colab](https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Probabilistic_Layers_Regression.ipynb)\n",
        "    - 다른 레이어 예제: VAE [블로그](https://medium.com/tensorflow/variational-autoencoders-with-tensorflow-probability-layers-d06c658931b7) [Colab](https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Probabilistic_Layers_VAE.ipynb)\n",
        "- 가우시안 프로세스 회귀 [colab](https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Gaussian_Process_Regression_In_TFP.ipynb) 및 잠재 변수 모델링 [colab](https://colab.research.google.com/github/tensorflow/probability/blob/master/tensorflow_probability/examples/jupyter_notebooks/Gaussian_Process_Latent_Variable_Model.ipynb)\n",
        "\n",
        "더 많은 예제와 노트가 GitHub([여기](https://github.com/tensorflow/probability/tree/master/tensorflow_probability/examples))에 있습니다."
      ]
    }
  ],
  "metadata": {
    "colab": {
      "collapsed_sections": [],
      "name": "A_Tour_of_TensorFlow_Probability.ipynb",
      "toc_visible": true
    },
    "kernelspec": {
      "display_name": "Python 3",
      "name": "python3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}
